Answer:
The population of this city in 13 years is 440,550.
Step-by-step explanation:
Given:
Suppose a city with population 300, 000 has been growing at a rate of 3% per year.
Now, to find the population of this city in 13 years.
Let the population of this city in 13 years be [tex]A.[/tex]
Population ([tex]P[/tex]) = 300,000.
Rate per year ([tex]r[/tex]) = 3%.
Time ([tex]t[/tex]) = 13 years.
Now, we put formula to get the population of the city in 13 years:
[tex]A=P(1+r)^t\\\\A=300,000(1+3\%)^{13}\\\\A=300,000(1+0.03)^{13}\\\\A=300,000(1.03)^{13}\\\\A=300,000\times 1.4685\\\\A=440,550.[/tex]
Therefore, the population of this city in 13 years is 440,550.
